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LCM of 848, 378, 667, 992

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 848, 378, 667, 992 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 848, 378, 667, 992. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 848,378,667,992

Given numbers are 848,378,667,992

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 848,378,667,992 is 6627888288.

Find LCM of 848,378,667,992 with Prime Factorization


2 848, 378, 667, 992
2 424, 189, 667, 496
2 212, 189, 667, 248
2 106, 189, 667, 124
53, 189, 667, 62

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 53 x 189 x 667 x 62 = 6627888288

Therefore, the lowest common multiple of 848,378,667,992 is 6627888288.

LCM Formula to Find Lowest Common Multiple of 848,378,667,992

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

848 x 378 x 667 x 992 = 212092425216

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

667 : 1, 23, 29, 667

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,378,667,992, is 1.

Now, the common factors can be found like this.

848:2x 2x 2x 2x 53

378:2x 3x 3x 3x 7

667:23x 29

992:2x 2x 2x 2x 2x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2 = 32

Therefore, the value for common factors is 32.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 212092425216/(1x32)

LCM = 212092425216/32

LCM = 6627888288

Thus, we can understand that the LCM of 848,378,667,992 is 6627888288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 848, 378, 667, 992

1. What is the LCM of 848, 378, 667, 992?

Answer: LCM of 848, 378, 667, 992 is 6627888288.

2. How to calculate the LCM of 848, 378, 667, 992?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 848, 378, 667, 992.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.